Finite Group Databasebeta

← #689101

Subgroups — #689101

Order 512.

3656 conjugacy classes of subgroups.

The subgroup lattice has 1914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2534C211yesmaximal, characteristic, complemented
2C2×#2425C211yesmaximal, characteristic, complemented
3C2×#2622C211yesmaximal, characteristic, complemented
4C2×#2321C211yesmaximal, characteristic, complemented
5#16538C211yesmaximal, characteristic, complemented
6#16533C211yesmaximal, characteristic, complemented
7#16386C211yesmaximal, characteristic, complemented
8#16372C211yesmaximal, characteristic, complemented
9#15647C211yesmaximal, characteristic, complemented
10#15635C211yesmaximal, characteristic, complemented
11#15621C211yesmaximal, characteristic, complemented
12#15379C211yesmaximal, characteristic, complemented
13#15375C211yesmaximal, characteristic, complemented
14#15350C211yesmaximal, characteristic, complemented
15#15308C211yesmaximal, characteristic, complemented
16#15293C211yesmaximal, characteristic, complemented
17#15006C211yesmaximal, characteristic, complemented
18#14968C211yesmaximal, characteristic, complemented
19#14949C211yesmaximal, characteristic, complemented
20#14912C211yesmaximal, characteristic, complemented
21#14911C211yesmaximal, characteristic, complemented
22#14751C211yesmaximal, characteristic, complemented
23#14736C211yesmaximal, characteristic, complemented
24#14716C211yesmaximal, characteristic
25#14023C211yesmaximal, characteristic, complemented
26#13996C211yesmaximal, characteristic, complemented
27#13991C211yesmaximal, characteristic, complemented
28#13975C211yesmaximal, characteristic, complemented
29#13972C211yesmaximal, characteristic, complemented
30C2×#1440C211yesmaximal, characteristic, complemented
31#13813C211yesmaximal, characteristic, complemented
32C22×#123C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#121C2211yescharacteristic
35C22×#120C2211yescharacteristic
36C22×#120C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40C23×C22⋊C4C2211yescharacteristic
41C23×C22⋊C4C2211yescharacteristic
42#2622—28no—
43#2534—28no—
44#2425—28no—
45C2×#398C2211yescharacteristic, complemented
46C2×#398C2211yescharacteristic, complemented
47C2×#397C2211yescharacteristic
48C2×#397C2211yescharacteristic
49C2×#397C2211yescharacteristic
50C2×#397C2211yescharacteristic
51C2×#397C2211yescharacteristic, complemented
52C2×#396C2211yescharacteristic
53C2×#396C2211yescharacteristic
54C2×#396C2211yescharacteristic, complemented
55C2×#394C2211yescharacteristic
56C2×#394C2211yescharacteristic
57C2×#394C2211yescharacteristic
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic, complemented
62C2×#392C2211yescharacteristic
63C2×#392C2211yescharacteristic
64#2321—28no—
65C2×#390C2211yescharacteristic
66C2×#390C2211yescharacteristic
67C2×#389C2211yescharacteristic, complemented
68C2×#388C2211yescharacteristic
69C2×#388C2211yescharacteristic
70C2×#388C2211yescharacteristic
71C2×#388C2211yescharacteristic
72C2×#388C2211yescharacteristic
73C2×#388C2211yescharacteristic
74C2×#388C2211yescharacteristic
75C2×#388C2211yescharacteristic
76C2×#388C2211yescharacteristic, complemented
77C2×#386C2211yescharacteristic
78C2×#386C2211yescharacteristic
79C2×#386C2211yescharacteristic
80C2×#386C2211yescharacteristic
81C2×#386C2211yescharacteristic
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic
86C2×#386C2211yescharacteristic
87C2×#386C2211yescharacteristic, complemented
88C2×#386C2211yescharacteristic, complemented
89C2×#385C2211yescharacteristic
90C2×#385C2211yescharacteristic
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic
93C2×#385C2211yescharacteristic, complemented
94C2×#381C2211yescharacteristic
95C2×#381C2211yescharacteristic
96C2×#380C2211yescharacteristic
97C2×#380C2211yescharacteristic, complemented
98C2×#379C2211yescharacteristic
99C2×#379C2211yescharacteristic
100C2×C4×C22⋊C4C2211yescharacteristic
101C2×C4×C22⋊C4C2211yescharacteristic
102C2×C4×C22⋊C4C2211yescharacteristic, complemented
103C22×#95C2211yescharacteristic
104C22×#95C2211yescharacteristic
105C22×#95C2211yescharacteristic
106C22×#95C2211yescharacteristic
107#1445C2211yescharacteristic, complemented
108#1445C2211yescharacteristic, complemented
109#1445C2211yescharacteristic, complemented
110#1444C2211yescharacteristic, complemented
111#1444C2211yescharacteristic, complemented
112#1443C2211yescharacteristic, complemented
113#1443C2211yescharacteristic, complemented
114#1442C2211yescharacteristic, complemented
115#1442C2211yescharacteristic, complemented
116#1442C2211yescharacteristic, complemented
117#1442C2211yescharacteristic, complemented
118#1442C2211yescharacteristic, complemented
119#1442C2211yescharacteristic, complemented
120#1442C2211yescharacteristic, complemented
121#1441C2211yescharacteristic, complemented
122#1441C2211yescharacteristic, complemented
123#1441C2211yescharacteristic, complemented
124#1441C2211yescharacteristic, complemented
125#1441C2211yescharacteristic, complemented
126#1441C2211yescharacteristic, complemented
127#1440C2211yescharacteristic
128#1440C2211yescharacteristic
129#1440C2211yescharacteristic
130#1440C2211yescharacteristic
131#1440C2211yescharacteristic
132#1440C2211yescharacteristic
133#1440C2211yescharacteristic
134#1440C2211yescharacteristic
135#1440C2211yescharacteristic
136#1440C2211yescharacteristic
137#1440C2211yescharacteristic, complemented
138#1440C2211yescharacteristic, complemented
139#1440C2211yescharacteristic, complemented
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic, complemented
149#1439C2211yescharacteristic, complemented
150#1439C2211yescharacteristic, complemented
151#1439C2211yescharacteristic, complemented
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1439C2211yescharacteristic, complemented
155#1438C2211yescharacteristic
156#1438C2211yescharacteristic
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic, complemented
164#1437C2211yescharacteristic
165#1437C2211yescharacteristic
166#1437C2211yescharacteristic, complemented
167#1437C2211yescharacteristic, complemented
168#1437C2211yescharacteristic, complemented
169#1437C2211yescharacteristic, complemented
170#1437C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178C4⋊#95C2211yescharacteristic, complemented
179C4⋊#95C2211yescharacteristic, complemented
180#1434C2211yescharacteristic, complemented
181#1434C2211yescharacteristic, complemented
182#1434C2211yescharacteristic, complemented
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic, complemented
190C4×#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C2×#123—24no—
208C2×#123—24no—
209C2×#123—24no—
210C2×#123—24no—
211C2×#123—42no—
212C2×#123—42no—
213C2×#121—24no—
214C2×#121—24no—
215C2×#121—42no—
216C2×#120—24no—
217C2×#120—24no—
218C2×#120—24no—
219C2×#120—24no—
220C2×#120—24no—
221C2×#120—42no—
222C2×C4×D4—24no—
223C2×C4×D4—24no—
224C2×C4×D4—24no—
225C2×C4×D4—24no—
226C2×C4×D4—42no—
227C2×C4×D4—42no—
228C22×C4⋊C4C2311yescharacteristic
229C22×C4⋊C4C2311yescharacteristic
230C22×C4⋊C4C2311yescharacteristic
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C4⋊C4C2311yescharacteristic
242C22×C4⋊C4C2311yescharacteristic
243C22×C4⋊C4C2311yescharacteristic
244C22×C4⋊C4C2311yescharacteristic
245C22×C22⋊C4—24no—
246C22×C22⋊C4—24no—
247C22×C22⋊C4—24no—
248C22×C22⋊C4—24no—
249C22×C22⋊C4—42no—
250C22×C22⋊C4—42no—
251C22×C22⋊C4—42no—
252C22×C22⋊C4—42no—
253C22×C22⋊C4—42no—
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C22⋊C4C2311yescharacteristic
275C22×C22⋊C4C2311yescharacteristic
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C22⋊C4C2311yescharacteristic
280C22×C22⋊C4C2311yescharacteristic
281C22×C22⋊C4C2311yescharacteristic
282C22×C22⋊C4C2311yescharacteristic
283C22×C22⋊C4C2311yescharacteristic
284C22×C22⋊C4C2311yescharacteristic
285C22×C22⋊C4C2311yescharacteristic
286C22×C22⋊C4C2311yescharacteristic
287C22×C22⋊C4C2311yescharacteristic
288C22×C22⋊C4C2311yescharacteristic
289C22×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C42C2311yescharacteristic
305C22×C42C2311yescharacteristic
306C22×C42C2311yescharacteristic
307C22×C42C2311yescharacteristic
308C22×C42C2311yescharacteristic
309C22×C42C2311yescharacteristic
310#398—24no—
311#398—42no—
312#397—24no—
313#397—24no—
314#397—24no—
315#397—24no—
316#397—24no—
317#396—24no—
318#396—24no—
319#396—24no—
320#394—24no—
321#394—24no—
322#394—24no—
323#394—24no—
324#394—24no—
325#394—24no—
326#394—24no—
327#392—42no—
328#392—42no—
329#390—24no—
330#390—24no—
331#389—24no—
332#388—24no—
333#388—24no—
334#388—24no—
335#388—24no—
336#388—24no—
337#388—24no—
338#388—24no—
339#388—42no—
340#388—42no—
341#386—24no—
342#386—24no—
343#386—24no—
344#386—24no—
345#386—24no—
346#386—24no—
347#386—24no—
348#386—24no—
349#386—24no—
350#386—42no—
351#386—42no—
352#386D418yescomplemented
353#385—24no—
354#385—24no—
355#385—24no—
356#385—24no—
357#385—42no—
358#381—24no—
359#381—24no—
360#380—24no—
361#380—24no—
362#379—24no—
363#379D418yescomplemented
364C4×C22⋊C4—24no—
365C4×C22⋊C4—42no—
366C4×C22⋊C4—42no—
367C2×#95—24no—
368C2×#95—42no—
369C2×#95—42no—
370C2×#95—42no—
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
401C2×#95C2311yescharacteristic
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C2×#95C2311yescharacteristic
425C2×#95C2311yescharacteristic
426C2×#95C2311yescharacteristic
427C2×#95C2311yescharacteristic
428C2×#95C2311yescharacteristic
429C2×#95C2311yescharacteristic
430C2×#95C2311yescharacteristic
431C2×#95C2311yescharacteristic
432C2×#95C2311yescharacteristic
433C2×#95C2311yescharacteristic
434C2×#95C2311yescharacteristic
435C2×#95C2311yescharacteristic
436C2×#95C2311yescharacteristic
437C25—22no—
438C25—22no—
439C25—22no—
440C25—22no—
441C25—22no—
442C25—22no—
443C25—41no—
444C25—41no—
445C25—41no—
446C25—41no—
447C25—41no—
448C25—41no—
449C25—41no—
450C25—41no—
451C25C2×D414yes—
452C25C2411yescharacteristic
453C25C2411yescharacteristic
454C25C2411yescharacteristic
455C25C2411yescharacteristic
456C25C2411yescharacteristic
457C22×D4—22no—
458C22×D4—22no—
459C22×D4—22no—
460C22×D4—22no—
461C22×D4—22no—
462C22×D4—22no—
463C22×D4—22no—
464C22×D4—22no—
465C22×D4—22no—
466C22×D4—22no—
467C22×D4—22no—
468C22×D4—22no—
469C22×D4—22no—
470C22×D4—22no—
471C22×D4—22no—
472C22×D4—22no—
473C22×D4—22no—
474C22×D4—22no—
475C22×D4—22no—
476C22×D4—22no—
477C22×D4—22no—
478C22×D4—22no—
479C22×D4—22no—
480C22×D4—22no—
481C22×D4—22no—
482C22×D4—41no—
483C22×D4—41no—
484C22×D4—41no—
485C22×D4—41no—
486C22×D4—41no—
487C22×D4—41no—
488C22×D4—41no—
489C22×D4—41no—
490C22×D4—41no—
491C22×D4—41no—
492C22×D4—41no—
493C22×D4—41no—
494C22×D4—41no—
495C22×D4—41no—
496C22×D4—41no—
497C22×D4—41no—
498C22×D4—41no—
499C22×D4—41no—
500C22×D4—41no—
501C22×D4—41no—
502C22×D4—41no—
503C22×D4—41no—
504C22×D4C2×D414yes—
505C22×D4#4114yes—
506C23×C4—22no—
507C23×C4—22no—
508C23×C4—22no—
509C23×C4—22no—
510C23×C4—22no—
511C23×C4—22no—
512C23×C4—22no—
513C23×C4—22no—
514C23×C4—22no—
515C23×C4—22no—
516C23×C4—22no—
517C23×C4—22no—
518C23×C4—22no—
519C23×C4—22no—
520C23×C4—22no—
521C23×C4—22no—
522C23×C4—22no—
523C23×C4—22no—
524C23×C4—22no—
525C23×C4—22no—
526C23×C4—22no—
527C23×C4—22no—
528C23×C4—22no—
529C23×C4—22no—
530C23×C4—22no—
531C23×C4—22no—
532C23×C4—41no—
533C23×C4—41no—
534C23×C4—41no—
535C23×C4—41no—
536C23×C4—41no—
537C23×C4—41no—
538C23×C4—41no—
539C23×C4—41no—
540C23×C4—41no—
541C23×C4—41no—
542C23×C4—41no—
543C23×C4—41no—
544C23×C4—41no—
545C23×C4—41no—
546C23×C4—41no—
547C23×C4—41no—
548C23×C4—41no—
549C23×C4—41no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4—41no—
556C23×C4—41no—
557C23×C4—41no—
558C23×C4—41no—
559C23×C4—41no—
560C23×C4C2×D414yes—
561C23×C4#4114yes—
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C23×C4C2411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588#123—416no—
589#123—416no—
590#121—416no—
591#120—232no—
592#120—416no—
593C4×D4—416no—
594C4×D4—416no—
595C2×C4⋊C4—22no—
596C2×C4⋊C4—22no—
597C2×C4⋊C4—22no—
598C2×C4⋊C4—22no—
599C2×C4⋊C4—22no—
600C2×C4⋊C4—22no—
601C2×C4⋊C4—22no—
602C2×C4⋊C4—22no—
603C2×C4⋊C4—22no—
604C2×C4⋊C4—22no—
605C2×C4⋊C4—22no—
606C2×C4⋊C4—22no—
607C2×C4⋊C4—22no—
608C2×C4⋊C4—22no—
609C2×C4⋊C4—22no—
610C2×C4⋊C4—22no—
611C2×C4⋊C4—22no—
612C2×C4⋊C4—22no—
613C2×C4⋊C4—22no—
614C2×C4⋊C4—22no—
615C2×C4⋊C4—22no—
616C2×C4⋊C4—22no—
617C2×C4⋊C4—22no—
618C2×C4⋊C4—22no—
619C2×C4⋊C4—22no—
620C2×C4⋊C4—41no—
621C2×C4⋊C4—41no—
622C2×C4⋊C4—41no—
623C2×C4⋊C4—41no—
624C2×C4⋊C4—41no—
625C2×C4⋊C4—41no—
626C2×C4⋊C4—41no—
627C2×C4⋊C4—41no—
628C2×C4⋊C4—41no—
629C2×C4⋊C4—41no—
630C2×C4⋊C4—41no—
631C2×C4⋊C4—41no—
632C2×C4⋊C4—41no—
633C2×C4⋊C4—41no—
634C2×C4⋊C4—41no—
635C2×C4⋊C4—41no—
636C2×C4⋊C4—41no—
637C2×C4⋊C4—41no—
638C2×C4⋊C4—41no—
639C2×C4⋊C4—41no—
640C2×C4⋊C4—41no—
641C2×C4⋊C4—41no—
642C2×C4⋊C4—41no—
643C2×C4⋊C4—41no—
644C2×C4⋊C4—41no—
645C2×C4⋊C4—41no—
646C2×C22⋊C4—22no—
647C2×C22⋊C4—22no—
648C2×C22⋊C4—22no—
649C2×C22⋊C4—22no—
650C2×C22⋊C4—22no—
651C2×C22⋊C4—22no—
652C2×C22⋊C4—22no—
653C2×C22⋊C4—22no—
654C2×C22⋊C4—22no—
655C2×C22⋊C4—22no—
656C2×C22⋊C4—22no—
657C2×C22⋊C4—22no—
658C2×C22⋊C4—22no—
659C2×C22⋊C4—22no—
660C2×C22⋊C4—22no—
661C2×C22⋊C4—22no—
662C2×C22⋊C4—22no—
663C2×C22⋊C4—22no—
664C2×C22⋊C4—22no—
665C2×C22⋊C4—22no—
666C2×C22⋊C4—22no—
667C2×C22⋊C4—22no—
668C2×C22⋊C4—22no—
669C2×C22⋊C4—22no—
670C2×C22⋊C4—22no—
671C2×C22⋊C4—22no—
672C2×C22⋊C4—22no—
673C2×C22⋊C4—22no—
674C2×C22⋊C4—22no—
675C2×C22⋊C4—22no—
676C2×C22⋊C4—22no—
677C2×C22⋊C4—22no—
678C2×C22⋊C4—22no—
679C2×C22⋊C4—22no—
680C2×C22⋊C4—22no—
681C2×C22⋊C4—22no—
682C2×C22⋊C4—22no—
683C2×C22⋊C4—22no—
684C2×C22⋊C4—22no—
685C2×C22⋊C4—22no—
686C2×C22⋊C4—22no—
687C2×C22⋊C4—22no—
688C2×C22⋊C4—22no—
689C2×C22⋊C4—22no—
690C2×C22⋊C4—22no—
691C2×C22⋊C4—22no—
692C2×C22⋊C4—22no—
693C2×C22⋊C4—22no—
694C2×C22⋊C4—22no—
695C2×C22⋊C4—22no—
696C2×C22⋊C4—22no—
697C2×C22⋊C4—22no—
698C2×C22⋊C4—22no—
699C2×C22⋊C4—22no—
700C2×C22⋊C4—22no—
701C2×C22⋊C4—22no—
702C2×C22⋊C4—22no—
703C2×C22⋊C4—22no—
704C2×C22⋊C4—22no—
705C2×C22⋊C4—22no—
706C2×C22⋊C4—22no—
707C2×C22⋊C4—22no—
708C2×C22⋊C4—22no—
709C2×C22⋊C4—22no—
710C2×C22⋊C4—22no—
711C2×C22⋊C4—22no—
712C2×C22⋊C4—22no—
713C2×C22⋊C4—22no—
714C2×C22⋊C4—22no—
715C2×C22⋊C4—22no—
716C2×C22⋊C4—22no—
717C2×C22⋊C4—22no—
718C2×C22⋊C4—22no—
719C2×C22⋊C4—22no—
720C2×C22⋊C4—41no—
721C2×C22⋊C4—41no—
722C2×C22⋊C4—41no—
723C2×C22⋊C4—41no—
724C2×C22⋊C4—41no—
725C2×C22⋊C4—41no—
726C2×C22⋊C4—41no—
727C2×C22⋊C4—41no—
728C2×C22⋊C4—41no—
729C2×C22⋊C4—41no—
730C2×C22⋊C4—41no—
731C2×C22⋊C4—41no—
732C2×C22⋊C4—41no—
733C2×C22⋊C4—41no—
734C2×C22⋊C4—41no—
735C2×C22⋊C4—41no—
736C2×C22⋊C4—41no—
737C2×C22⋊C4—41no—
738C2×C22⋊C4—41no—
739C2×C22⋊C4—41no—
740C2×C22⋊C4—41no—
741C2×C22⋊C4—41no—
742C2×C22⋊C4—41no—
743C2×C22⋊C4—41no—
744C2×C22⋊C4—41no—
745C2×C22⋊C4—41no—
746C2×C22⋊C4—41no—
747C2×C22⋊C4—41no—
748C2×C22⋊C4—41no—
749C2×C22⋊C4—41no—
750C2×C22⋊C4—41no—
751C2×C22⋊C4—41no—
752C2×C22⋊C4—41no—
753C2×C22⋊C4—41no—
754C2×C22⋊C4—41no—
755C2×C22⋊C4—41no—
756C2×C22⋊C4—41no—
757C2×C22⋊C4—41no—
758C2×C22⋊C4—41no—
759C2×C22⋊C4—41no—
760C2×C22⋊C4—41no—
761C2×C22⋊C4—416no—
762C2×C22⋊C4—416no—
763C2×C22⋊C4—416no—
764C2×C22⋊C4—41no—
765C2×C22⋊C4—41no—
766C2×C22⋊C4—41no—
767C2×C22⋊C4—41no—
768C2×C22⋊C4—41no—
769C2×C22⋊C4—41no—
770C2×C22⋊C4—41no—
771C2×C22⋊C4—41no—
772C2×C22⋊C4—41no—
773C2×C22⋊C4—41no—
774C2×C22⋊C4—41no—
775C2×C22⋊C4—41no—
776C2×C22⋊C4—41no—
777C2×C22⋊C4—41no—
778C2×C22⋊C4—41no—
779C2×C22⋊C4—41no—
780C2×C22⋊C4—41no—
781C2×C22⋊C4—41no—
782C2×C22⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4C2×D414yes—
790C2×C22⋊C4C2×D414yes—
791C2×C22⋊C4C2×D414yes—
792C2×C22⋊C4C2×D414yes—
793C2×C22⋊C4C2×D414yes—
794C2×C22⋊C4C2×D414yes—
795C2×C22⋊C4C2×D414yes—
796C2×C22⋊C4C2×D414yes—
797C2×C22⋊C4C2×D414yes—
798C2×C22⋊C4#4114yes—
799C2×C42—22no—
800C2×C42—22no—
801C2×C42—22no—
802C2×C42—22no—
803C2×C42—22no—
804C2×C42—22no—
805C2×C42—22no—
806C2×C42—41no—
807C2×C42—41no—
808C2×C42—41no—
809C2×C42—41no—
810C2×C42—41no—
811C2×C42—41no—
812C2×C42—41no—
813C2×C42—41no—
814C2×C42—41no—
815C2×C42—41no—
816C2×C42—41no—
817#95—22no—
818#95—22no—
819#95—22no—
820#95—22no—
821#95—22no—
822#95—22no—
823#95—22no—
824#95—22no—
825#95—22no—
826#95—22no—
827#95—22no—
828#95—22no—
829#95—22no—
830#95—22no—
831#95—22no—
832#95—22no—
833#95—22no—
834#95—22no—
835#95—22no—
836#95—22no—
837#95—22no—
838#95—22no—
839#95—22no—
840#95—22no—
841#95—22no—
842#95—22no—
843#95—22no—
844#95—22no—
845#95—22no—
846#95—22no—
847#95—22no—
848#95—22no—
849#95—22no—
850#95—22no—
851#95—22no—
852#95—22no—
853#95—22no—
854#95—22no—
855#95—22no—
856#95—41no—
857#95—41no—
858#95—41no—
859#95—41no—
860#95—41no—
861#95—41no—
862#95—41no—
863#95—41no—
864#95—41no—
865#95—41no—
866#95—41no—
867#95—41no—
868#95—41no—
869#95—41no—
870#95—41no—
871#95—41no—
872#95—41no—
873#95—41no—
874#95—41no—
875#95—41no—
876#95—41no—
877#95—41no—
878#95—41no—
879#95—41no—
880#95—41no—
881#95C2×D414yes—
882#95C2×D414yes—
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—28no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—28no—
949C24—28no—
950C24—44no—
951C24—44no—
952C24—44no—
953C24—44no—
954C24—44no—
955C24—44no—
956C24—44no—
957C24—44no—
958C24—44no—
959C24—44no—
960C24—44no—
961C24—44no—
962C24—44no—
963C24—44no—
964C24—44no—
965C24—44no—
966C24—82no—
967C24—82no—
968C24—82no—
969C24—82no—
970C24—82no—
971C24—82no—
972C24—82no—
973C24—82no—
974C24—82no—
975C24—82no—
976C24—82no—
977C24—82no—
978C24—82no—
979C24—82no—
980C24—82no—
981C24—82no—
982C24C22×D412yes—
983C24C22×D412yes—
984C24C22×D412yes—
985C24C22×D412yes—
986C24C22×D412yes—
987C24C2×#4112yes—
988C24C2×#4112yes—
989C24C2×#4112yes—
990C24C2×#4112yes—
991C24H(5,𝔽2)12yes—
992C24H(5,𝔽2)12yes—
993C24C2511yescharacteristic
994C2×D4—28no—
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—28no—
998C2×D4—28no—
999C2×D4—28no—
1000C2×D4—28no—
1001C2×D4—28no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—82no—
1018C2×D4—82no—
1019C2×D4—82no—
1020C2×D4—82no—
1021C2×D4—82no—
1022C2×D4—82no—
1023C2×D4—82no—
1024C2×D4—82no—
1025C2×D4—82no—
1026C2×D4—82no—
1027C2×D4—82no—
1028C2×D4—82no—
1029C2×D4—82no—
1030C2×D4—82no—
1031C2×D4—82no—
1032C2×D4—82no—
1033C2×D4—82no—
1034C2×D4—82no—
1035C2×D4—82no—
1036C2×D4—82no—
1037C2×D4—82no—
1038C2×D4—82no—
1039C2×D4—82no—
1040C2×D4—82no—
1041C2×D4—82no—
1042C2×D4—82no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—28no—
1140C22×C4—28no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—82no—
1238C22×C4—82no—
1239C22×C4—82no—
1240C22×C4—82no—
1241C22×C4—82no—
1242C22×C4—82no—
1243C22×C4—82no—
1244C22×C4—82no—
1245C22×C4—82no—
1246C22×C4—82no—
1247C22×C4—82no—
1248C22×C4—82no—
1249C22×C4—82no—
1250C22×C4—82no—
1251C22×C4—82no—
1252C22×C4—82no—
1253C22×C4—82no—
1254C22×C4—82no—
1255C22×C4—82no—
1256C22×C4—82no—
1257C22×C4—82no—
1258C22×C4—82no—
1259C22×C4—82no—
1260C22×C4—82no—
1261C22×C4—82no—
1262C22×C4—82no—
1263C22×C4—82no—
1264C22×C4—82no—
1265C22×C4C22×D412yes—
1266C22×C4C22×D412yes—
1267C22×C4C22×D412yes—
1268C22×C4C22×D412yes—
1269C22×C4C22×D412yes—
1270C22×C4C22×D412yes—
1271C22×C4C22×D412yes—
1272C22×C4C22×D412yes—
1273C22×C4C22×D412yes—
1274C22×C4C2×#4112yes—
1275C22×C4C2×#4112yes—
1276C22×C4C2×#4112yes—
1277C22×C4C2×#4112yes—
1278C22×C4C2×#4112yes—
1279C22×C4H(5,𝔽2)12yes—
1280C22×C4H(5,𝔽2)12yes—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—82no—
1290C4⋊C4—82no—
1291C4⋊C4—82no—
1292C4⋊C4—82no—
1293C4⋊C4—82no—
1294C4⋊C4—82no—
1295C4⋊C4—82no—
1296C4⋊C4—82no—
1297C4⋊C4—82no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—82no—
1337C22⋊C4—82no—
1338C22⋊C4—82no—
1339C22⋊C4—82no—
1340C22⋊C4—82no—
1341C22⋊C4—82no—
1342C22⋊C4—82no—
1343C22⋊C4—82no—
1344C22⋊C4—82no—
1345C22⋊C4—82no—
1346C22⋊C4—82no—
1347C22⋊C4—82no—
1348C42—44no—
1349C42—44no—
1350C42—82no—
1351C42—82no—
1352C42—82no—
1353C42—82no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—416no—
1411C23—416no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—416no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—88no—
1526C23—88no—
1527C23—88no—
1528C23—88no—
1529C23—88no—
1530C23—88no—
1531C23—88no—
1532C23—88no—
1533C23—88no—
1534C23—88no—
1535C23—88no—
1536C23—88no—
1537C23#52514yes—
1538C23#53214yes—
1539C23#54014yes—
1540C23D4214yes—
1541C23#54614yes—
1542C23#54614yes—
1543C23#55314yes—
1544C23C23×D411yescharacteristic
1545C23C23×D411yescharacteristic
1546C23C22×#4111yescharacteristic
1547C23C22×#4111yescharacteristic
1548C23C22×#4111yescharacteristic
1549C23C2×H(5,𝔽2)11yescharacteristic
1550C23C2×H(5,𝔽2)11yescharacteristic
1551C23C2×H(5,𝔽2)11yescharacteristic
1552C23C2×H(5,𝔽2)11yescharacteristic
1553C23#58511yescharacteristic
1554C23#58511yescharacteristic
1555C23#58511yescharacteristic
1556C23#58511yescharacteristic
1557C23#58511yescharacteristic
1558C23#58511yescharacteristic
1559D4—416no—
1560D4—416no—
1561D4—88no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—88no—
1749C2×C4—88no—
1750C2×C4—88no—
1751C2×C4—88no—
1752C2×C4—88no—
1753C2×C4—88no—
1754C2×C4—88no—
1755C2×C4—88no—
1756C22—24no—
1757C22—24no—
1758C22—24no—
1759C22—24no—
1760C22—24no—
1761C22—24no—
1762C22—24no—
1763C22—24no—
1764C22—24no—
1765C22—24no—
1766C22—24no—
1767C22—24no—
1768C22—24no—
1769C22—24no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—832no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—81no—
1803C22—81no—
1804C22—81no—
1805C22—81no—
1806C22—81no—
1807C22—81no—
1808C22—81no—
1809C22—81no—
1810C22—81no—
1811C22—81no—
1812C22—81no—
1813C22—81no—
1814C22—81no—
1815C22—81no—
1816C22—81no—
1817C22—81no—
1818C22—81no—
1819C22—81no—
1820C22—81no—
1821C22—81no—
1822C22—81no—
1823C22—81no—
1824C22—81no—
1825C22—81no—
1826C22—81no—
1827C22—81no—
1828C22—81no—
1829C22—81no—
1830C22—81no—
1831C22#246418yes—
1832C22C2×#52511yescharacteristic
1833C22C2×#53211yescharacteristic
1834C22C2×#54011yescharacteristic
1835C22#345511yescharacteristic
1836C22#345911yescharacteristic
1837C22C2×D4211yescharacteristic
1838C22C2×#54611yescharacteristic
1839C22C2×#54611yescharacteristic
1840C22C2×#55311yescharacteristic
1841C22#348511yescharacteristic
1842C22#348511yescharacteristic
1843C22#348511yescharacteristic
1844C22#348811yescharacteristic
1845C22#349311yescharacteristic
1846C22#349611yescharacteristic
1847C22#349611yescharacteristic
1848C22#349611yescharacteristic
1849C22#350011yescharacteristic
1850C22#350511yescharacteristic
1851C22#351311yescharacteristic
1852C22#351311yescharacteristic
1853C22#351411yescharacteristic
1854C22#351411yescharacteristic
1855C22#352111yescharacteristic
1856C22#352111yescharacteristic
1857C22#352111yescharacteristic
1858C22#352111yescharacteristic
1859C22#353211yescharacteristic
1860C22#353311yescharacteristic
1861C22#353311yescharacteristic
1862C22#353311yescharacteristic
1863C22#353311yescharacteristic
1864C22#353411yescharacteristic
1865C22#354211yescharacteristic
1866C22#354511yescharacteristic
1867C4—42no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—42no—
1872C4—42no—
1873C4—42no—
1874C4—42no—
1875C4—42no—
1876C4—42no—
1877C4—42no—
1878C4—42no—
1879C4—42no—
1880C4—42no—
1881C4—42no—
1882C4—42no—
1883C4—81no—
1884C4—81no—
1885C4—81no—
1886C4—81no—
1887C4—81no—
1888C4—81no—
1889C4—81no—
1890C4—81no—
1891C4—81no—
1892C4—81no—
1893C2—28no—
1894C2—82no—
1895C2—82no—
1896C2—82no—
1897C2—82no—
1898C2C2×#246411yescharacteristic
1899C2#3500911yescharacteristic
1900C2#3546511yescharacteristic
1901C2#3579211yescharacteristic
1902C2#3579211yescharacteristic
1903C2#3766711yescharacteristic
1904C2#3918411yescharacteristic
1905C2#3925511yescharacteristic
1906C2#3942811yescharacteristic
1907C2#4069811yescharacteristic
1908C2#4147311yescharacteristic
1909C2#4301711yescharacteristic
1910C2#4390411yescharacteristic
1911C2#4391011yescharacteristic
1912C2#4445011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#14716C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#2534C2semidirect
2. C2×#2425C2semidirect
3. C2×#2622C2semidirect
4. C2×#2321C2semidirect
5. #16538C2semidirect
6. #16533C2semidirect
7. #16386C2semidirect
8. #16372C2semidirect
9. #15647C2semidirect
10. #15635C2semidirect
11. #15621C2semidirect
12. #15379C2semidirect
13. #15375C2semidirect
14. #15350C2semidirect
15. #15308C2semidirect
16. #15293C2semidirect
17. #15006C2semidirect
18. #14968C2semidirect
19. #14949C2semidirect
20. #14912C2semidirect
21. #14911C2semidirect
22. #14751C2semidirect
23. #14736C2semidirect
25. #14023C2semidirect
26. #13996C2semidirect
27. #13991C2semidirect
28. #13975C2semidirect
29. #13972C2semidirect
30. C2×#1440C2semidirect
31. #13813C2semidirect
45. C2×#398C22semidirect
46. C2×#398C22semidirect
51. C2×#397C22semidirect
54. C2×#396C22semidirect
61. C2×#394C22semidirect
67. C2×#389C22semidirect
76. C2×#388C22semidirect
87. C2×#386C22semidirect
88. C2×#386C22semidirect
93. C2×#385C22semidirect
97. C2×#380C22semidirect
102. C2×C4×C22⋊C4C22semidirect
107. #1445C22semidirect
108. #1445C22semidirect
109. #1445C22semidirect
110. #1444C22semidirect
111. #1444C22semidirect
112. #1443C22semidirect
113. #1443C22semidirect
114. #1442C22semidirect
115. #1442C22semidirect
116. #1442C22semidirect
117. #1442C22semidirect
118. #1442C22semidirect
119. #1442C22semidirect
120. #1442C22semidirect
121. #1441C22semidirect
122. #1441C22semidirect
123. #1441C22semidirect
124. #1441C22semidirect
125. #1441C22semidirect
126. #1441C22semidirect
137. #1440C22semidirect
138. #1440C22semidirect
139. #1440C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
163. #1438C22semidirect
166. #1437C22semidirect
167. #1437C22semidirect
168. #1437C22semidirect
169. #1437C22semidirect
170. #1437C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. C4⋊#95C22semidirect
179. C4⋊#95C22semidirect
180. #1434C22semidirect
181. #1434C22semidirect
182. #1434C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect
189. C22⋊#95C22semidirect
190. C4×#95C22semidirect
352. #386D4semidirect
363. #379D4semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#25342
C2×#24252
C2×#26222
C2×#23212
#165382
#165332
#163862
#163722
#156472
#156352
#156212
#153792
#153752
#153502
#153082
#152932
#150062
#149682
#149492
#149122
#149112
#147512
#147362
#147162
#140232
#139962
#139912
#139752
#139722
C2×#14402
#138132